Trump said: "We'll be having meetings with Kim Jong-un very soon. It will be - that will be taking place probably in early June or a little before that - assuming things go well."
In his talks with visiting Japanese Prime Minister Shinzo Abe at his Mar-a-Lago retreat in Florida on Tuesday, Trump also said he had given his blessing to the inter-Korean talks aimed at formally ending the Korean War.
For his part, Medvedev said the China-Russia comprehensive strategic partnership of coordination has developed at an unprecedented high level and he believes cooperation in key areas will undoubtedly see new results in the coming year.
The mission would be launched this summer for a trip to the sun's atmosphere about 4 million miles (6.4 million km) from the surface to study how the star affects space and other planets.
Xiang Junbo, 61, former chairman of the China Insurance Regulatory Commission, was charged by Changzhou Intermediate People's Court in Jiangsu province.
Contacts between the two sides in recent weeks have involved US intelligence and State Department officials, according to the report.
"We have had direct talks at very high levels, extremely high levels, with North Korea (the DPRK). I really believe there's a lot of good will; a lot of good things are happening."